Indefinite integral DT / 1 + √ t

Indefinite integral DT / 1 + √ t

∫[1/(1+√t)]dt
=2∫[√t/(1+√t)]d(√t)
=2∫[(1+√t-1)/(1+√t)]d(√t)
=2∫d(√t)-2∫[1/(1+√t)]d(√t)
=2√t-2ln(1+√t)+C